Hi @Anonymous,
Thank you for sharing it.
Installation error
Your version is 2.0.3706 and In the log file, there are many [Win error 5] due to the AntiVirus program.
You should update Fusion 360 by up to date. Please follow this steps
1. Disable AV program and
2. Clean uninstall (If you can't use the clean uninstallation program, please take a look at this article.
3. Fusion 360 install (Install it with Right-Click on the *.exe as "Run as Administrator")
4. Configure AV program
5. Fusion launch (Right-click on the Fusion 360 launch icon and "Run as Administrator")
Network Error
2018-01-09T14:41:39.722Z [Fusion360:11008, 12004] [AdWebServices.OAuth2.Refresher WARN] a21ba95bec91.1.JWT.data:read%20data:write%20data:create%20data:search%20user-profile:read%20account:read%20account:write: Failed to refresh OAuth2 token. Will retry token refresh after 1m. NetworkError code: 3 Http status code: 0 Http reason phrase: Ads reason phrase: OAuth error: No error Http error: 0. Network error: 3 Host developer.api.autodesk.com not found (possibly no internet connection)
Have you set the proxy server setting? https://knowledge.autodesk.com/support/fusion-360/troubleshooting/caas/sfdcarticles/sfdcarticles/Network-Configuration-for-Fusion-360.html
It would be related to your Antivirus program so please disable and configure it and then could you try again?
20171108T232259 E 1510201378128 1510201378323 POST https://ssl.google-analytics.com/collect 42 Callback aborted
20171108T232259 E GAThread::sendReport failed to send this record
Are you able to open the preferences option? I had resolved it after turning off the option. However, I'm not sure whether this issue is related to it.

Are you able to access this website? https://ssl.google-analytics.com/
Please let me know whether it works after following the steps.
I look forward to your reply.
Many thanks,
Ahreum.